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Finding the Fourth Proportional to 118,643.19, 163,804.02 and 105,874.42

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Solution

The fourth proportional to 118,643.19, 163,804.02 and 105,874.42 is: 146,174.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,643.19 : 163,804.02 = 105,874.42 : x
  2. Step 2: Convert to fraction form
    118,643.19/163,804.02 = 105,874.42/x
  3. Step 3: Cross multiply
    118,643.19x = 163,804.02 × 105,874.42
  4. Step 4: Simplify right side
    118,643.19x = 17,342,654,948.83
  5. Step 5: Solve for x
    x = 17,342,654,948.83/118,643.19
  6. Step 6: Final answer
    x = 146,174.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.